Freedman, M. A. A method for reparameterizing mild solutions to nonlinear evolution equations. (English) Zbl 0694.35081 J. Differ. Equations 75, No. 2, 187-205 (1988). Existence of solutions of evolution differential equation \(u'(t)+A(t)u(t)\ni 0\), \(u(0)=x_ 0\) where \(A(t)\) is a multivalued m- accretive operator in a Banach space \(X\) is discussed in the case when a solution to \(v'(t)+B(t)v(t)\ni 0\), \(v(0)=x_ 0\) is known to exist and \(A\) and \(B\) are related by \(A(t)=r(t)B(t)\) with \(r(t)\) positive and integrable. Reviewer: S.Tersian MSC: 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 34G99 Differential equations in abstract spaces 35K55 Nonlinear parabolic equations Keywords:mild solutions; m-accretive operator PDF BibTeX XML Cite \textit{M. A. Freedman}, J. Differ. Equations 75, No. 2, 187--205 (1988; Zbl 0694.35081) Full Text: DOI References: [1] Crandall, M.G; Evans, L.C, On the relation of the operator \(∂∂s + ∂∂τ\) to evolution governed by accretive operators, Israel J. math., 21, 261-278, (1975) · Zbl 0351.34037 [2] Crandall, M.G; Pazy, A, Nonlinear evolution equations in Banach spaces, Israel J. math., 11, 57-94, (1972) · Zbl 0249.34049 [3] Craven, B, Lebesgue measure and integral, (1982), Pitman MA · Zbl 0491.28001 [4] Evans, L.C, Nonlinear evolution equations in an arbitrary Banach space, Israel J. math., 26, 1-42, (1977) · Zbl 0349.34043 [5] \scM. A. Freedman, Further investigation of the relation of the operator \(∂∂σ + ∂∂τ\) to evolution governed by accretive operators, Houston J. Math., to appear. · Zbl 0811.35172 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.